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arxiv: math/0507106 · v2 · pith:7KAFAFLAnew · submitted 2005-07-05 · 🧮 math.QA · math.AG

A definition of descendants at one point in graph calculus

classification 🧮 math.QA math.AG
keywords definitioncalculusdescendantsgraphpointbarannikov-kontsevichdilatonequation
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We study the genus expansion of Barannikov-Kontsevich solutions of the WDVV equation. In terms of the related graph calculus we give a definition of descendants at one point and prove that this definition satisfies the topological recursion relations in genera 0, 1, and 2, string and dilaton equations, and the pull-back formula.

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